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author | siveshs <siveshs@gmail.com> | 2010-07-02 03:46:13 +0000 |
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committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 03:46:13 +0000 |
commit | d57142264e0c2688aebd36bf5a38a7b6c11552aa (patch) | |
tree | 9e8812007dc515ef51ab0f7ecee0d393ebcadff2 /ClassJune26.page | |
parent | ee48d33495ca9c062ca2c2eba4b298e171ef6673 (diff) | |
download | afterklein-wiki-d57142264e0c2688aebd36bf5a38a7b6c11552aa.tar.gz afterklein-wiki-d57142264e0c2688aebd36bf5a38a7b6c11552aa.zip |
still testing
Diffstat (limited to 'ClassJune26.page')
-rw-r--r-- | ClassJune26.page | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/ClassJune26.page b/ClassJune26.page index b5454a4..4a23318 100644 --- a/ClassJune26.page +++ b/ClassJune26.page @@ -162,7 +162,7 @@ and add them up just fine, so we can exponentiate complex values of $z$. We know what happens to real values, what happens to pure imaginary ones? Let $y\in\mathbb{R}$. Then -$$\begin{array}{ccl} +$$\begin{array} e^{iy} & = & 1+iy+\frac{(iy)^{2}}{2!}+\frac{(iy)^{3}}{3!}+\frac{(iy)^{4}}{4!}+\frac{(iy)^{5}}{5!}+\cdots\\ & = & 1+iy-\frac{y^{2}}{2!}-i\frac{y^{3}}{3!}+\frac{y^{4}}{4!}+i\frac{y^{5}}{5!}+\cdots\\ & = & (1-\frac{y^{2}}{2!}+\frac{y^{4}}{4!}+\cdots)+i(y-\frac{y^{3}}{3!}+\frac{y^{5}}{5!}-\cdots)\\ |